What is the distance between $(4, \frac{- 3 π}{8})$ $(4 ,( - 3pi)/8 )$ and $(7, \frac{3 π}{4})$ $(7 ,( 3 pi )/4 )$ ?

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What is the distance between $(4, \frac{- 3 π}{8})$ $(4 ,( - 3pi)/8 )$ and $(7, \frac{3 π}{4})$ $(7 ,( 3 pi )/4 )$ ?

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Answer 1 · 2016-11-07T05:12:07

$d = \frac{\sqrt{81 π + 576}}{8}$ $d=sqrt(81pi+576)/8$
$d \approx 3.6022$ $d approx 3.6022$ units

Explanation:

$(4, \frac{- 3 π}{8})$ $(4,(-3pi)/8)$ and $(7, \frac{3 π}{4})$ $(7,(3pi)/4)$
$(4, \frac{- 3 π}{8})$ $(4,(-3pi)/8)$ and $(7, \frac{6 π}{8})$ $(7,(6pi)/8)$

Distance formula:
$d = \sqrt{{(y 2 - y 1)}^{2} + {(x 2 - x 1)}^{2}}$ $d=sqrt((y2-y1)^2+(x2-x1)^2)$
$d = \sqrt{{[(\frac{6 π}{8}) - (\frac{- 3 π}{8})]}^{2} + {[7 - 4]}^{2}}$ $d=sqrt([((6pi)/8)-((-3pi)/8)]^2+[7-4]^2)$

$d = \sqrt{\frac{81 π}{64} + 9}$ $d=sqrt[(81pi)/64 + 9]$
$d = \sqrt{\frac{81 π + 576}{64}}$ $d=sqrt[(81pi+576)/64]$

$d = \frac{\sqrt{81 π + 576}}{8}$ $d=sqrt(81pi+576)/8$
$d \approx 3.6022$ $d approx 3.6022$ units

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What is the distance between $(4, \frac{- 3 π}{8})$ $(4 ,( - 3pi)/8 )$ and $(7, \frac{3 π}{4})$ $(7 ,( 3 pi )/4 )$ ?

1 Answer

Explanation:

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What is the distance between (4,−3π8)(4 ,( - 3pi)/8 ) and (7,3π4)(7 ,( 3 pi )/4 )?

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Explanation:

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What is the distance between $(4, \frac{- 3 π}{8})$ $(4 ,( - 3pi)/8 )$ and $(7, \frac{3 π}{4})$ $(7 ,( 3 pi )/4 )$ ?